ΠΠ»Π³Π΅Π±ΡΠ° Π³Π°ΡΠΌΠΎΠ½ΠΈΠΈ. ΠΠ΄ΠΈΠ½ΡΡΠ²ΠΎ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ ΠΈ ΠΈΡΠΊΡΡΡΡΠ²Π°, ΠΈΠ»ΠΈ ΠΡΠΈΡΠΎΠ΄Π° ΠΏΡΠ΅ΠΊΡΠ°ΡΠ½ΠΎΠ³ΠΎ ΠΈ ΠΊΡΠ°ΡΠΎΡΠ° Π½Π°ΡΠΊΠΈ. ΠΠ½ΠΈΠ³Π° 2. ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π·Π°ΠΊΠΎΠ½Ρ Π² ΠΌΡΠ·ΡΠΊΠ΅
ΠΠ±Π·ΠΎΡ
ΠΡΠ° ΠΊΠ½ΠΈΠ³Π° ΠΈΡΡΠ»Π΅Π΄ΡΠ΅Ρ Π³Π»ΡΠ±ΠΎΠΊΡΡ ΡΠ²ΡΠ·Ρ ΠΌΠ΅ΠΆΠ΄Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΎΠΉ ΠΈ ΠΈΡΠΊΡΡΡΡΠ²ΠΎΠΌ, ΡΠ΄Π΅Π»ΡΡ ΠΎΡΠΎΠ±ΠΎΠ΅ Π²Π½ΠΈΠΌΠ°Π½ΠΈΠ΅ ΡΠΎΠΌΡ, ΠΊΠ°ΠΊ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΠΏΡΠΎΡΠ²Π»ΡΡΡΡΡ Π² ΠΌΡΠ·ΡΠΊΠ΅. ΠΠ½Π° ΡΠ°ΡΠΊΡΡΠ²Π°Π΅Ρ ΠΏΡΠΈΡΠΎΠ΄Ρ ΠΏΡΠ΅ΠΊΡΠ°ΡΠ½ΠΎΠ³ΠΎ Π² ΠΈΡΠΊΡΡΡΡΠ²Π΅ ΠΈ ΠΊΡΠ°ΡΠΎΡΡ, ΠΏΡΠΈΡΡΡΡΡ Π½Π°ΡΠΊΠ΅, ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Ρ ΠΈΡ
ΠΊΠ°ΠΊ Π²Π·Π°ΠΈΠΌΠΎΡΠ²ΡΠ·Π°Π½Π½ΡΠ΅ ΡΡΡΠ½ΠΎΡΡΠΈ. ΠΡΠΎΡΠ°Ρ ΠΊΠ½ΠΈΠ³Π° ΡΠ΅ΡΠΈΠΈ ΡΠ³Π»ΡΠ±Π»ΡΠ΅ΡΡΡ Π² ΠΊΠΎΠ½ΠΊΡΠ΅ΡΠ½ΡΠ΅ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π·Π°ΠΊΠΎΠ½Ρ, Π»Π΅ΠΆΠ°ΡΠΈΠ΅ Π² ΠΎΡΠ½ΠΎΠ²Π΅ ΠΌΡΠ·ΡΠΊΠ°Π»ΡΠ½ΡΡ
ΡΡΡΡΠΊΡΡΡ ΠΈ Π³Π°ΡΠΌΠΎΠ½ΠΈΠΈ.
ΠΠΎΠΌΡ ΠΏΠΎΠ΄ΠΎΠΉΠ΄ΡΡ
- ΠΡΠ±ΠΈΡΠ΅Π»ΡΠΌ ΠΌΡΠ·ΡΠΊΠΈ, ΠΈΠ½ΡΠ΅ΡΠ΅ΡΡΡΡΠΈΠΌΡΡ Π΅Ρ ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΈΠΌΠΈ ΠΎΡΠ½ΠΎΠ²Π°ΠΌΠΈ.
- Π‘ΡΡΠ΄Π΅Π½ΡΠ°ΠΌ ΠΈ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠΌ Π² ΠΎΠ±Π»Π°ΡΡΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ ΠΈ ΠΌΡΠ·ΡΠΊΠΎΠ²Π΅Π΄Π΅Π½ΠΈΡ.
- Π’Π΅ΠΌ, ΠΊΡΠΎ ΠΈΡΠ΅Ρ Π²Π·Π°ΠΈΠΌΠΎΡΠ²ΡΠ·Ρ ΠΌΠ΅ΠΆΠ΄Ρ ΡΠΎΡΠ½ΡΠΌΠΈ Π½Π°ΡΠΊΠ°ΠΌΠΈ ΠΈ ΡΠ²ΠΎΡΡΠ΅ΡΡΠ²ΠΎΠΌ.
ΠΠ»ΡΡΠ΅Π²ΡΠ΅ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ
- Π―Π·ΡΠΊ: Π ΡΡΡΠΊΠΈΠΉ
- Π€ΠΎΡΠΌΠ°Ρ: ΠΠ½ΠΈΠ³Π°
- Π‘Π΅ΡΠΈΡ: ΠΠ»Π³Π΅Π±ΡΠ° Π³Π°ΡΠΌΠΎΠ½ΠΈΠΈ
- Π§Π°ΡΡΡ: ΠΠ½ΠΈΠ³Π° 2
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The Algebra of Harmony: The Unity of Mathematics and Art, or The Nature of the Beautiful and the Beauty of Science. Book 2. Mathematical Laws in Music
Overview
This volume delves into the profound connection between mathematics and art, specifically examining the mathematical laws that govern music. It explores the nature of beauty in art and the elegance found in science, presenting them as interconnected concepts. As the second book in the series, it focuses on the concrete mathematical principles underlying musical structures and harmony.
Who it's for
- Music enthusiasts interested in theoretical foundations.
- Students and researchers in mathematics and musicology.
- Individuals seeking to understand the interplay between science and creativity.
Key features
- Language: Russian
- Format: Book
- Series: The Algebra of Harmony
- Part: Book 2